4 citations · 6 across the 7 of their papers we have counts for
7 papers
Existence and stability of nonmonotone hydraulic shocks for the Saint Venant equations of inclined thin-film flow
Grégory Faye, L. Miguel Rodrigues, Zhao Yang +1
Extending work of Yang-Zumbrun for the hydrodynamically stable case of Froude number F < 2, we categorize completely the existence and convective stability of hydraulic shock profi…
Mathematical derivation of wave propagation properties in hierarchical neural networks with predictive coding feedback dynamics
Grégory Faye, Guilhem Fouilhé, Rufin VanRullen
Sensory perception (e.g. vision) relies on a hierarchy of cortical areas, in which neural activity propagates in both directions, to convey information not only about sensory input…
Exponential asymptotic stability of Riemann shocks of hyperbolic systems of balance laws
Grégory Faye, L. Miguel Rodrigues
For strictly entropic Riemann shock solutions of strictly hyperbolic systems of balance laws, we prove that exponential spectral stability implies large-time asymptotic orbital sta…
Center manifolds without a phase space
Gregory Faye, Arnd Scheel
We establish center manifold theorems that allow one to study the bifurcation of small solutions from a trivial state in systems of functional equations posed on the real line. The…
Pinning and Unpinning in Nonlocal Systems
Taylor Anderson, Gregory Faye, Arnd Scheel +1
We investigate pinning regions and unpinning asymptotics in nonlocal equations. We show that phenomena are related to but different from pinning in discrete and inhomogeneous media…
Modulated traveling fronts for a nonlocal Fisher-KPP equation: a dynamical systems approach
Gregory Faye, Matt Holzer
We consider a nonlocal generalization of the Fisher-KPP equation in one spatial dimension. As a parameter is varied the system undergoes a Turing bifurcation. We study the dynamics…